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References
C. Bessaga andA. Pelczinski, On a class ofB 0-spaces. Bull. Acad. Pol. Sci.5, 375–377 (1957).
M. de Wilde andC. Houet, On increasing sequences of absolutely convex sets in locally convex spaces. Math. Ann.192, 257–261 (1971).
M. Eidelheit, Zur Theorie der Systeme linearer Gleichungen. Studia Math.6, 139–148 (1936).
T. Husain, Two new classes of locally convex spaces. Math. Ann.166, 289–299 (1966).
G.Köthe, Topological Vector Spaces 1. Berlin-Heidelberg-New York 1969.
M. Levin andS. Saxon, A note on the inheritance of properties of locally convex spaces by subspaces of countable codimension. Proc. Amer. Math. Soc.29, 97–102 (1971).
P. Narayanaswami andS. Saxon, (LF)-spaces, quasi-Baire spaces and the strongest locally convex topology Math. Ann.274, 627–641 (1986).
P.Perez Carreras and J.Bonet, Barrelled Locally Convex Spaces. Math. Studies131, Amsterdam-New York-Oxford-Tokyo 1987.
W. Ruess, Generalized inductive limit topologies and barrelledness properties. Pacific J. Math. (2)63, 499–516 (1976).
S. Saxon, Nuclear and product spaces, Baire-like spaces and the strongest locally convex topology. Math. Ann.197, 87–106 (1972).
J.Schmets, Espaces de Fonctions Continues. LNM519, Berlin-Heidelberg-New York 1976.
M. Valdivia, A note on locally convex spaces. Math. Ann.201, 145–148 (1973).
M. Valdivia, Mackey convergence and the closed graph theorem. Arch. Math.25, 649–656 (1974).
M. Valdivia, On Mackey spaces. Duke Math. J.41, 835–841 (1974).
M. Valdivia, On quasi-completeness and sequential completeness in locally convex spaces. J. Reine Angew. Math.276, 190–199 (1975).
M.Valdivia, Topics in Locally Convex Spaces. Math. Studies67, Amsterdam-New York-Oxford 1982.
M. Valdivia, Three-space Problems and Projective Tensor Products of Locally Convex Spaces. Proc. R. Ir. Acad. (2)86A, 127–141 (1986).
J. H. Webb, Sequential convergence in locally convex spaces. Proc. Cambridge Phil. Soc.64, 341–364(1986).
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Ferrando, J.C., Sánchez Ruiz, L.M. On sequential barrelledness. Arch. Math 57, 597–605 (1991). https://doi.org/10.1007/BF01199065
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DOI: https://doi.org/10.1007/BF01199065